Abstract
In this chapter, we discuss some properties and formulas for differentiation and integration involving spherical harmonics.
Keywords
- Spherical Harmonics
- Funk Hecke Formula
- Integral Identity
- Laplace-Beltrami Operator
- Positive Definite Function
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© 2012 Springer-Verlag Berlin Heidelberg
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Atkinson, K., Han, W. (2012). Differentiation and Integration over the Sphere. In: Spherical Harmonics and Approximations on the Unit Sphere: An Introduction. Lecture Notes in Mathematics(), vol 2044. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25983-8_3
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DOI: https://doi.org/10.1007/978-3-642-25983-8_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25982-1
Online ISBN: 978-3-642-25983-8
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